This stuff has been posted recently.
Once again, this is what Neanderthals looked like:
Image courtesy of www.themandus.org
There has never been any mixing of human stock and THAT and the people making such claims are suffering from a breakdown in basic logic.
There is terribly little genetic variation in the human race compared to all but one or two other mammals and that is due to some fairly recent genetic bottleneck which reduced the human population to a very small number of individuals, possibly less than fifty or a hundred.
If there ever had been any human/Neanderthal crossbreeding, it would have happened either before or after the bottleneck. I think even the logically impaired/challenged would have to agree to that...
If human/Neanderthal crossbreeding happened before the bottleneck, you'd not read these claims of whites and East Asians having Neanderthal genes but Africans not having it; we'd all have them. If any human group had mixed with Neanderthals AFTER that bottleneck, the variation between that group and all others (humans) would be gigantic.
The only conclusion which is tenable is that there has never been any mixing of humans and Neanderthals, and that any similar genes anybody finds are just artifacts of same or similar low-level components being used by an original designer or designers.
There is zero possibility of humans and apes interbreeding. Joseph Stalin's scientists tried to create a race of super workers by crossing apes and humans in the 1930s and none of the subjects even survived. Even the idiot commies recognized the project as a failure.